(1) There are n ropes and your task is to tie them into a single rope. The i'th rope is of length li (for i = 1,...,n). When you tie two rope segments, they become joined into one rope segment and you pay a cost equal to the sum of their lengths. Design an efficient algorithm to find a sequence of joining operations that combines the n ropes into a single rope that minimizes the combined cost. Your algorithm should output the sequence of operations, and the minimum cost.
(1) There are n ropes and your task is to tie them into a single rope. The i'th rope is of length li (for i = 1,...,n). When you tie two rope segments, they become joined into one rope segment and you pay a cost equal to the sum of their lengths. Design an efficient algorithm to find a sequence of joining operations that combines the n ropes into a single rope that minimizes the combined cost. Your algorithm should output the sequence of operations, and the minimum cost.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Remember that when a problem asks you to design an algorithm, you must also prove the algorithm’s correctness and analyze its running time, i.e., the running time must be bounded by a polynomial function of the input size.
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